Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces |
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| Authors: | Ding Guang Gui Li Jian Ze |
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| Affiliation: | 1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China;2. Electrical and Computer Engineering, Ryerson University, Toronto, ON, Canada |
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| Abstract: | In this paper, based on the smooth point of the unit ball and its support linear functional,we show two equivalent formulations of the isometric extension problem between the unit spheres of strictly convex two-dimensional normed spaces. We prove that these equivalent formulations have a positive answer in a special case. |
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| Keywords: | Isometric extension strictly convex unit sphere smooth point additive map |
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